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arXiv · 1911.10669

Galois symbol maps for abelian varieties over a $p$-adic field

Toshiro Hiranouchi
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Abstract

We study the Galois symbol map associated to the multiplicative group and an abelian variety which has good ordinary reduction over a $p$-adic field. As a byproduct, one can calculate the "class group" in the view of the class field theory for curves over a $p$-adic field.

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Toshiro Hiranouchi. 2019-11-25. Galois symbol maps for abelian varieties over a $p$-adic field. https://arxiv.org/abs/1911.10669

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